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Finding the Fourth Proportional to 70,698.12, 106,062.76 and 23,311.32

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Solution

The fourth proportional to 70,698.12, 106,062.76 and 23,311.32 is: 34,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698.12 : 106,062.76 = 23,311.32 : x
  2. Step 2: Convert to fraction form
    70,698.12/106,062.76 = 23,311.32/x
  3. Step 3: Cross multiply
    70,698.12x = 106,062.76 × 23,311.32
  4. Step 4: Simplify right side
    70,698.12x = 2,472,462,938.44
  5. Step 5: Solve for x
    x = 2,472,462,938.44/70,698.12
  6. Step 6: Final answer
    x = 34,972.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.